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2342414200041 = 333716011464559
BaseRepresentation
bin100010000101100010110…
…001000010110011101001
322021221011212120111002000
4202011202301002303221
5301334231013400131
64552031253401213
7331143131116326
oct42054261026351
98257155514060
102342414200041
11823459827373
12319b85939209
1313cb72663666
1481532a77b4d
1540de90a1ce6
hex22162c42ce9

2342414200041 has 32 divisors (see below), whose sum is σ = 3566262182400. Its totient is φ = 1518453734400.

The previous prime is 2342414200037. The next prime is 2342414200051. The reversal of 2342414200041 is 1400024142432.

2342414200041 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 414 + 200 + 0 + 41 = 666.

It is not a de Polignac number, because 2342414200041 - 22 = 2342414200037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2342414199978 and 2342414200014.

It is not an unprimeable number, because it can be changed into a prime (2342414200051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867120 + ... + 2331678.

It is an arithmetic number, because the mean of its divisors is an integer number (111445693200).

Almost surely, 22342414200041 is an apocalyptic number.

It is an amenable number.

2342414200041 is a deficient number, since it is larger than the sum of its proper divisors (1223847982359).

2342414200041 is a wasteful number, since it uses less digits than its factorization.

2342414200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466206 (or 1466200 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2342414200041 its reverse (1400024142432), we get a palindrome (3742438342473).

The spelling of 2342414200041 in words is "two trillion, three hundred forty-two billion, four hundred fourteen million, two hundred thousand, forty-one".

Divisors: 1 3 9 27 37 111 333 999 1601 4803 14409 43227 59237 177711 533133 1464559 1599399 4393677 13181031 39543093 54188683 162566049 487698147 1463094441 2344758959 7034276877 21102830631 63308491893 86756081483 260268244449 780804733347 2342414200041